Answer
$\frac{1}{18}$
Work Step by Step
To divide fractions, take the product of the reciprocal. This leaves $$\frac{5}{6} \cdot \frac{1}{15}=\frac{5}{15} \cdot \frac{1}{6}=\frac{5}{5(3)} \cdot \frac{1}{6}=\frac{1}{6} \cdot \frac{1}{3}=\frac{1}{18}$$